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Proportional Division Strategies

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Proportional Division Strategies

📚 Part 1: Multiple Choice

1. Which proportional adjustment gives an equivalent, tidy division for 84 ÷ 0.7?

8.4 ÷ 0.07

840 ÷ 7

84 ÷ 7

2. For 48 ÷ 6, which adjustment is simplest to use?

Divide both by 2 → 24 ÷ 3

Multiply both by 2 →  96 ÷ 12

Multiply both by 10 → 480 ÷ 60

3. To make 45 ÷ 0.09 easier, you could:

Multiply both by 10 → 450 ÷ 0.9

Multiply both by 100 → 4500 ÷ 9

Divide both by 9 → 5 ÷ 0.01

4. Which adjustments will create tidy divisors for 72 ÷ 0.6? (Tick all that apply.)

Multiply both by 10 → 720 ÷ 6

Divide both by 2 → 36 ÷ 0.3

Multiply both by 5 → 360 ÷ 3

Multiply both by 100 → 7200 ÷ 60

✏️ Part 2: Short Answers & Working

5. Solve 94.5 ÷ 0.3 using proportional adjustment, then place value. 
Show your steps and final answer:
6. For 90 ÷ 15, decide whether to multiply or divide both numbers to make the divisor tidy. 
Write the tidy equivalent and solve.
7. Real-life problem: You have 6 kg of flour. Each cake needs 0.75 kg. How many cakes can you make? Use proportional adjustment to show your steps and answer. 

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